Ludwig Prandtl (German pronunciation: [ˈluːtvɪç ˈpʁantl̩]; 4 February 1875 – 15 August 1953) was a German fluid dynamicist, physicist and aerospace scientist. He was a pioneer in the development of rigorous systematic mathematical analyses which he used for underlying the science of aerodynamics, which have come to form the basis of the applied science of aeronautical engineering. In the 1920s, he developed the mathematical basis for the fundamental principles of subsonic aerodynamics in particular; and in general up to and including transonic velocities. His studies identified the boundary layer, thin-airfoils, and lifting-line theories. The Prandtl number was named after him.
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👉 Ludwig Prandtl in the context of Circulation (physics)
In physics, circulation is the line integral of a vector field around a closed curve embedded in the field. In fluid dynamics, the field is the fluid velocity field. In electrodynamics, it can be the electric or the magnetic field.
In aerodynamics, it finds applications in the calculation of lift, for which circulation was first used independently by Frederick Lanchester, Ludwig Prandtl, Martin Kutta and Nikolay Zhukovsky. It is usually denoted by Γ (uppercase gamma).
In this Dossier
Ludwig Prandtl in the context of University of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen (German: Georg-August-Universität Göttingen, commonly referred to as Georgia Augusta), is a public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 by George II, King of Great Britain and Elector of Hanover, it began instruction in 1737 and is recognized as the oldest university in Lower Saxony. Recognized for its historic and traditional significance, the university has affiliations with 47 Nobel Prize winners by its own count.
The University of Göttingen reached its academic peak from the late 19th to early 20th century, establishing itself as a major international center for mathematics and physics. During this period, scholars such as David Hilbert, Felix Klein, Max Born, and Ludwig Prandtl conducted influential research in mathematics, quantum mechanics, and aerodynamics. The university attracted international students, including prominent Americans such as Edward Everett, George Bancroft, John Lothrop Motley, and J. Robert Oppenheimer. This prominence was severely disrupted by the Nazi rise to power in 1933, when the "great purge" resulted in the dismissal or emigration of numerous faculty members, including many of Jewish origin or those opposed to the regime. The university was subsequently reopened under British control in 1945 and began a process of academic reconstruction.
Ludwig Prandtl in the context of Lifting-line theory
The Lanchester–Prandtl lifting-line theory is a mathematical model in aerodynamics that predicts lift distribution over a three-dimensional wing from the wing's geometry. The theory was expressed independently by Frederick W. Lanchester in 1907, and by Ludwig Prandtl in 1918–1919 after working with Albert Betz and Max Munk. In this model, the vortex bound to the wing develops along the whole wingspan because it is shed as a vortex-sheet from the trailing edge, rather than just as a single vortex from the wing-tips.